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Finding the Third Proportional to 75,866 and 168,580

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Solution

The third proportional to 75,866 and 168,580 is: 374,597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,866 : 168,580 = 168,580 : x
  2. Step 2: Convert to fraction form
    75,866/168,580 = 168,580/x
  3. Step 3: Cross multiply
    75,866x = 168,580 × 168,580
  4. Step 4: Simplify right side
    75,866x = 28,419,216,400
  5. Step 5: Solve for x
    x = 28,419,216,400/75,866
  6. Step 6: Final answer
    x = 374,597.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.